dc.contributor.advisor | Blomer, Valentin Prof. Dr. | |
dc.contributor.author | Häußer, Christoph Renatus Ulrich | |
dc.date.accessioned | 2018-10-18T10:15:32Z | |
dc.date.available | 2018-10-18T10:15:32Z | |
dc.date.issued | 2018-10-18 | |
dc.identifier.uri | http://hdl.handle.net/11858/00-1735-0000-002E-E4D6-3 | |
dc.identifier.uri | http://dx.doi.org/10.53846/goediss-7101 | |
dc.language.iso | eng | de |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.subject.ddc | 510 | de |
dc.title | An extended large sieve for Maaß cusp forms | de |
dc.type | doctoralThesis | de |
dc.contributor.referee | Blomer, Valentin Prof. Dr. | |
dc.date.examination | 2018-08-29 | |
dc.description.abstracteng | For a certain big family of Maaß cusp forms, which in a way extends beyond the Hecke
congruence subgroup, we establish a large sieve inequality. The set of functions under
consideration is constructed by summing specific families of Maaß cusp forms for the
Hecke congruence subgroup of odd prime level N with respect to Dirichlet characters of
the modulus of the level. The result hinges on a suitable version of the Bruggeman-
Kuznetsov formula, upon which we build our argument, proving in a first step an
asymptotic formula for a weighted L^2 sum, featuring the Fourier coefficients of the
functions from the family we consider. The inequality we finally conclude in the main
theorem, describes an upper bound for this weighted L^2 sum, that in general does not
meet the expectation from theoretical considerations of the large sieve. | de |
dc.contributor.coReferee | Brüdern, Jörg Prof. Dr. | |
dc.subject.eng | large sieve | de |
dc.subject.eng | Maaß cusp forms | de |
dc.subject.eng | number theory | de |
dc.identifier.urn | urn:nbn:de:gbv:7-11858/00-1735-0000-002E-E4D6-3-6 | |
dc.affiliation.institute | Fakultät für Mathematik und Informatik | de |
dc.subject.gokfull | Mathematik (PPN61756535X) | de |
dc.identifier.ppn | 103410361X | |